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2101143431424 = 28347220326423
BaseRepresentation
bin11110100100110101111…
…010000110100100000000
321102212102022001112020210
4132210311322012210000
5233411120204301144
64245130231434120
7304542202325622
oct36446572064400
97385368045223
102101143431424
117400a9765934
1229b270825940
131231a1c2014b
14739a5716c12
15399c77cbab9
hex1e935e86900

2101143431424 has 144 divisors (see below), whose sum is σ = 5713895319552. Its totient is φ = 685142329344.

The previous prime is 2101143431419. The next prime is 2101143431437. The reversal of 2101143431424 is 4241343411012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2101143431391 and 2101143431400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79506277 + ... + 79532699.

It is an arithmetic number, because the mean of its divisors is an integer number (39679828608).

Almost surely, 22101143431424 is an apocalyptic number.

2101143431424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101143431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856947659776).

2101143431424 is an abundant number, since it is smaller than the sum of its proper divisors (3612751888128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101143431424 is a wasteful number, since it uses less digits than its factorization.

2101143431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28692 (or 28678 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2101143431424 its reverse (4241343411012), we get a palindrome (6342486842436).

The spelling of 2101143431424 in words is "two trillion, one hundred one billion, one hundred forty-three million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2203 2256 3008 4406 4512 6016 6609 8812 9024 12032 13218 17624 18048 26423 26436 35248 36096 52846 52872 70496 79269 103541 105692 105744 140992 158538 207082 211384 211488 281984 310623 317076 414164 422768 422976 563968 621246 634152 828328 845536 845952 1241881 1242492 1268304 1656656 1691072 1691904 2483762 2484984 2536608 3313312 3382144 3725643 4967524 4969968 5073216 6626624 6764288 7451286 9935048 9939936 10146432 13253248 14902572 19870096 19879872 20292864 26506496 29805144 39740192 39759744 58209869 59610288 79480384 79519488 116419738 119220576 158960768 174629607 232839476 238441152 317921536 349259214 465678952 476882304 698518428 931357904 953764608 1397036856 1862715808 2735863843 2794073712 3725431616 5471727686 5588147424 7450863232 8207591529 10943455372 11176294848 14901726464 16415183058 21886910744 22352589696 32830366116 43773821488 44705179392 65660732232 87547642976 131321464464 175095285952 262642928928 350190571904 525285857856 700381143808 1050571715712 2101143431424